You are planning to invest in two stocks and a risk free asset. You are sure that economy is expected to behave according to the following table. Likelihood of each scenario is given next to the state of economy. You are planning to invest where you put a quarter of your money in stock A and half of your money stock B and a quarter of your money in the risk free assets. You also know the following information. State of the Economy Recession Normal Boom Probability 25% 40% 35% Return on Stock A/RA -5% 13% 27% Return on Stock B/RB 12% 5% -12% Return on Risk Free Assets/RF *% *% *% 13.549% as annual interest rate a) Calculate the total risk (standard deviation) for Stock A, Stock B and the risk free assets. (points) b) Calculate the expected return for your portfolio. (5 points) c) What is the total risk of this portfolio? (5 points) d) Calculate the risk retum trade off of each stock altemative and portfolio. Which one is best investment idea and why? (5 points)